11123000224 has 48 divisors (see below), whose sum is σ = 25049037888. Its totient is φ = 4762755072.

The previous prime is 11123000183. The next prime is 11123000279. The reversal of 11123000224 is 42200032111.

11123000224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11123000224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11123000198 and 11123000207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236739 + ... + 279805.

It is an arithmetic number, because the mean of its divisors is an integer number (521854956).

Almost surely, 2^11123000224 is an apocalyptic number.

11123000224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11123000224 is an abundant number, since it is smaller than the sum of its proper divisors (13926037664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11123000224 is a wasteful number, since it uses less digits than its factorization.

11123000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44237 (or 44229 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11123000224 its reverse (42200032111), we get a palindrome (53323032335).

The spelling of 11123000224 in words is "eleven billion, one hundred twenty-three million, two hundred twenty-four", and thus it is an aban number.